2019/07/31 by Fabian Rupp · 1 citation
Mathematics · #math.FA #math.AP #msc:26D10 #msc:46T05 #msc:37C10
paper · pdf · doi:10.1016/j.jfa.2020.108708
published as J. Funct. Anal. 279 (2020), 108708 · 32 pages. To appear in Journal of Functional Analysis. New version contains an abstract convergence result (Cor. 5.6), a new counterexample (Ex. 6.5) and minor corrections. 2 references added
arxiv created 2020/07/20 · arxiv updated 2020/07/27
We provide sufficient conditions for the Lojasiewicz-Simon gradient inequality to hold on a submanifold of a Banach space and discuss the optimality of our assumptions. Our result provides a tool to study asymptotic properties of quasilinear parabolic equations with (nonlinear) constraints.